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www.logicmatters.net | ||
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lawrencecpaulson.github.io
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xorshammer.com
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| | | | | Let $latex \mathrm{PA}$ be Peano Arithmetic. Gödel's Second Incompleteness Theorem says that no consistent theory $latex T$ extending $latex \mathrm{PA}$ can prove its own consistency. (I'll write $latex \mathrm{Con}(T)$ for the statement asserting $latex T$'s consistency; more on this later.) In particular, $latex \mathrm{PA} + \mathrm{Con}(\mathrm{PA})$ is stronger than $latex \mathrm{PA}$. But certainly, given that... | |
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math.andrej.com
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serokell.io
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| | | Quantum computing is a technology that harnesses the principles of quantum mechanics to tackle complex problems that have long puzzled humanity. Check out this post to learn about the potential outcomes of the introduction of quantum computing and its transformative capabilities. | ||
